13010400000 has 648 divisors, whose sum is σ = 50857213680. Its totient is φ = 3179520000.

The previous prime is 13010399977. The next prime is 13010400001. The reversal of 13010400000 is 401031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13010400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93599931 + ... + 93600069.

Almost surely, 2^13010400000 is an apocalyptic number.

13010400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428606840).

13010400000 is an abundant number, since it is smaller than the sum of its proper divisors (37846813680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13010400000 is an equidigital number, since it uses as much as digits as its factorization.

13010400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13010400000 its reverse (401031), we get a palindrome (13010801031).

The spelling of 13010400000 in words is "thirteen billion, ten million, four hundred thousand".